GCF of 2408/174, 1606/6855
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2408/174, 1606/6855 i.e 2/397590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2408/174, 1606/6855.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 2408/174,1606/6855?
Given fractions are 2408/174,1606/6855
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 2408/174,1606/6855, numerators are 2408,1606
Denominators are 174,6855
The GCF of 2408,1606 is 2 .
LCM of 174,6855 is 397590.
The greatest common factor of 2408/174,1606/6855 = [GCF of 2408,1606]/[LCM of 174,6855]= 2/397590
Therefore, the GCF of 2408/174,1606/6855 is 2/397590.
To find the highest common factor of 2408,1606, we have to find the factors of both numbers and list the highest common factor.
The factors of 2408 are 1, 2, 4, 7, 8, 14, 28, 43, 56, 86, 172, 301, 344, 602, 1204, 2408
The factors of 1606 are 1, 2, 11, 22, 73, 146, 803, 1606
The HCF of 2408,1606 is 2.
Lets's calculate GCF of 2408,1606
| 2 | 2408, 1606 |
| 1204, 803 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2408,1606 By Matching Biggest Common Factor Method
Now, list down the factors of 2408
:1,2,4,7,8,14,28,43,56,86,172,301,344,602,1204,2408
Now, list down the factors of 1606
:1,2,11,22,73,146,803,1606
Greatest Common Factor
We found the factors 2408,1606 . The biggest common factor number is the GCF number.
So the greatest common factor 2408,1606 is 2.
Lets's calculate LCM of 174,6855
| 3 | 174, 6855 |
| 58, 2285 |
∴ So the LCM of the given numbers is 3 x 58 x 2285 = 397590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/397590
Therefore, the GCF of Fractions 2408/174,1606/6855 is 2/397590
Least Common Multiple of 174,6855 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 174,6855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,6855) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(174,6855) x common factors =3 x 1 = 3
LCM(174,6855) = ( 174 × 6855 ) / 3
LCM(174,6855) = 1192770 / 3
LCM(174,6855) = 397590
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FAQs on GCF of Fractions of 2408/174, 1606/6855
1. What is the HCF of 2408,1606?
The HCF of 2408,1606 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 2408/174, 1606/6855?
Answer: GCF of Numerators as per given numbers 2408/174, 1606/6855 is
GCF of Numerators i.e. for 2408,1606 is 2
LCM of denominators i.e. for 174,6855 is 397590.
Thus, GCF of Fractions is 2/397590.Finally, GCF of Fractions for 2408/174, 1606/6855 is 2/397590.